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Finding the Fourth Proportional to 20,735.80, 28,619.40 and 13,661.80

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Solution

The fourth proportional to 20,735.80, 28,619.40 and 13,661.80 is: 18,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.80 : 28,619.40 = 13,661.80 : x
  2. Step 2: Convert to fraction form
    20,735.80/28,619.40 = 13,661.80/x
  3. Step 3: Cross multiply
    20,735.80x = 28,619.40 × 13,661.80
  4. Step 4: Simplify right side
    20,735.80x = 390,992,518.92
  5. Step 5: Solve for x
    x = 390,992,518.92/20,735.80
  6. Step 6: Final answer
    x = 18,855.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.